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The OPERA experiment is searching for nu_mu -> nu_tau oscillations inappearance mode i.e. via the direct detection of tau leptons in nu_tau chargedcurrent interactions. The evidence of nu_mu -> nu_tau appearance has beenpreviously reported with three nu_tau candidate events using a sub-sample ofdata from the 2008-2012 runs. We report here a fourth nu_tau candidate event,with the tau decaying into a hadron, found after adding the 2012 run eventswithout any muon in the final state to the data sample. Given the number ofanalysed events and the low background, nu_mu -> nu_tau oscillations areestablished with a significance of 4.2sigma.

Observation of nu_tau appearance in the CNGS beam with the OPERA experiment